Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators

DOI10.6092/issn.2240-2829/10364zbMath1437.35128OpenAlexW3004069498MaRDI QIDQ5107101

Stefano Biagi

Publication date: 23 April 2020

Full work available at URL: https://mathematicalanalysis.unibo.it/article/download/10364/10388

zbMATH Keywords

homogeneous Hörmander operatorssubharmonic and superharmonic functions

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Subelliptic equations (35H20)

Cites Work

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• The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators
• A criterion for hypoellipticity of second order differential operators
• Large sets at infinity and maximum principle on unbounded domains for a class of sub-elliptic operators
• Liouville theorems for a class of linear second-order operators with nonnegative characteristic form
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Superharmonic functions associated with hypoelliptic non-Hörmander operators
• The existence of a global fundamental solution for homogeneous Hörmander operators via a global lifting method

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